The time for one cyclyr4vw 7ft0s,l in nv4.e of a periodic process is called the

  For a periodic process, the number of cyv:tvwwrz q (gs1x(9t;cles per unit time is called the

  For vibrational motion, the maximum displacemee : p,cf,vw(gsq ula./nt from the equilibrium point is called ,e:gvpcs,/ (lq. fauwthe

  A mass on a spring undergoes SHM. When the m94gjy. s+bza zass is at its maximum displacement from equilibrium, it zj.gaz 9b4ys+s instantaneous velocity

  A mass on a spring undergoesuglz2q dn 6o,, qu)w2webi9p- SHM. When the mass passes through the equilibrium position, its iq d2i,n)u9gqebu- 6pl2 wzwo,nstantaneous velocity

  A mass on a spring undergoes SHM. When the mass51- cwb3z+rcqgp7zv g is at maximum displacement from equilibriqg57-zc+vb31gp crwzum, its instantaneous acceleration

  A mass is attached to/j8da3jbyrw / ,(g nmn a vertical spring and bobs up and down between points A and B. Where is the mass l(mnb38grjwdj/ n y/,aocated when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betwawxlq1 ;p8bh+lh4 5 jbeen points A and B. Where is the mass located when it+l;pj4w5 bhbx8a1q lh s kinetic energy is a maximum?

  A mass is attached to a vertical sp2 ;ozklo/ wtsj4g-/az14 vq yvring and bobs up and down between points A and B. Where is the mass located /vj o4lq2 v; o w/-skzz1ytg4awhen its potential energy is a minimum?

  A mass is attached tobm77vb6 ma4er a vertical spring and bobs up and down between points A and B. Where is46 bb7m7 evmra the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating . v m,v:vgnl9r6o4sl1ua7jfmmass-and-spring system produces what effect on the system's mechanical ene 6a s fm7j4:ugnlv.v m9r,v1olrgy?

  Doubling only the mass oom-kc*q7t) m if a vibrating mass-and-spring system produces what effect oqmmkti* -7 o)cn the system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system producescbth-txb3k5 /ox g bsxus-; :cl de9w. 8s02us what effect on tx8 9:x usb--c5o b. c 0wssdg2settlk;bhu/x3he system's mechanical energy?

  A mass oscillates on v 0-4fr)af lv 5dn,.6jgkacro l *uv(fthe end of a spring, both on Earth and on the Moon. Where is the period the 5k-6ff,ldn4ja vg)u c f0l(r*orv va. greatest?

  Increasing the spring constant k of a mass-and-spring system cau od8.uf37p.ou ii(f iases what kind of change in the resonant frequency of the o fi. (78ifp.ioaud3usystem? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system c(kuy2 6uo nx:aauses what kind of change in the resonant frequency of the system? (Assume no change in the system's spring c(2yok u6ua: nxonstant k.)

  Increasing the amplitude of a mass-and-spring system causes what kinnfo c d amkl vtjz-oj5/p6100u 1z-sq4d of change in the resonant frequency of tnuz1pljto a0 qc0kfj5/vs6 o--m14dz he system? (Assume no other changes in the system.)

  A mass $m$ hanging on a spring has a natural frequency f. If the mass is increased to $4m$, what is the new natural frequency?

  A simple pendulum consists of a mass M attached to a weightless string of l.ytrl9v u9y. h-j;ezlength L. For this system, when uny.. ; erh9vtuyz-jll9dergoing small oscillations

  When the mass of a simple penrk nbz5,y8gz p3g .l.+ elbcd2dulum is tripled, the time required for one complete vibration 5.lzeb8p zdk.ngyr2, c+gb l3

  Both pendulum A and B are 3.0 m long. The period of A i r2xei6/r :9iyaxe f(: iof.fhs T. Pendulum A is twice as heavy/9if h.xrfx:y6or i a:e(i2fe as pendulum B. What is the period of B?

  When the length of a simple pendulliwmq2ljbsdejy 39/ +/wgz1 4um is tripled, the time for one complete vibration increases by a factor of/q9m2swjywg14/j+dl ze i bl3

  What happens to a simple pendulum's frequency if both iths -q)fk3yhs v5es+fup )9( nts length and mass are incv)n f )yu(t hes3fqskhs-+5p 9reased?

  Simple pendulum A swings back and forth at twice t ljr +wodjx49.,2qds qm1)seehe frequency of simple pendulum B. Which statement is cos jdj)e 2e9 1xs qo+4dmqlwr,.rrect?

  If you take a given pendulum to the Moon, where the acceleration of rvzenne.*p)ei)2 4j w gravity is less than on Earth, the resonante42. n)nwer)pzivje* frequency of the pendulum will

  Curve A in Fig. 11-1 repr8h, p hmsf.nv+esents

  Curve B in Fig. 11-1 rx2n7x:j jmi:a1xbv:*; wl nc k:;reilepresents

  Curve C in Fig. 11-1c uvh+ryw(*pgqbt y:c- g39-e represents

  For a forced vibrationoo togyg /z;qdmu7pz0(w.-4n, the amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of poind8. 8umzrs:fekp :i2esk k3r9 ts of the wave from equilibrium is calk.i:sem9p 38kr d 8s2u:e rkzfled the wave's

  The distance between s,neangpx -u9-dz9i/ puccessive crests on a wave is called the wave's

  The number of crests of a sc+t3ad ed2hlk8 .n* yzn dp26wave passing a point per unit time is called the wave'sah6e23dstzn2yk*cd p.d8 +l n

  For a wave, the frequency times the j 939) pqkubymwavelength is the wave's

  The frequency of a wave increases. What happens to the distance betwes culw(2 6qaa+ozr 6n2en successive crests if the speed remains constantlcq66z2on wa2a( r +su?

  A wave moves on a string with wavelength l and frequencywpd0mwx8+c*zf. r fs 6 f. A second wave on the sam6f .8cf zs rwwm0p*x+de string has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L r )2k2tih)qco, mass M, and tension T. A standing wave is set up. Which of the fot q)okc22ihr)llowing is true?

  A string of mass m and length L is under tension T. The speed of a wave ine0d2ckvd.o b3s4wx9zfnm smg 3f(g ,0 the string is v. What will be the speed of a wave in the string if the mass of the string is increased to 2m, sz fm39mb,0(wfd2.kvg ods 3c0ng4 xe with no change in length?

  A string of mass m and length L is undepb m 93l7b9pg djs1*zjr tension T. The speed of a wave in the string is v. What wid9 j 7*b sbp39z1gmjplll be the speed of a wave in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a wave in theq;z lf4r,bmw1vlgc o.wew2t81g04 i uj0l 5sk string is v. What will be the speed of a wave in the string if the tension isl 2e 1gikwc vwru5gq4l0l4 tob8.z;m0fw ,1js increased to 2T?

  In seismology, the S wave is a transverse wave. As an S) govyav2 lo6/ wave travels through the Earth, the relative motion between the S wave and the part /a) 2yvool6vgicles is

  In seismology, the P wave is a longitudinal wave. As l n7r 1-irahtu52qai6 a P wave travels through the Earth, the relative motion between the P wave and tri7iht- 1la6qr n5a2uhe particles is

  The intensity of a wp htm2y;-rd 4iave is

  A wave pulse traveling to the right along a thin cord reaches a discontin5zm;h5qxltp 8 uity where the rope becomes thicker and heavier. What is the qph55tx l;m8z orientation of the reflected and transmitted pulses?

  Two wave pulses with*kzhw8 /mhcfc* o e0a6 equal positive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of space at the same *afecw/k*co6 mh 8zh0time

  Two wave pulses pass each other on a stris 1w.qocx /5 u5imht9hng. The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At the point that they occupy the same region /smhqo51 5uxcw.iht9of space at the same time

  Resonance in a system, such as a strdfk1x 8 gx71faj+mdj(b j9l4q ing fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequency of bq(w,wdbcb6l5 r70ss that string will 7w ,q5br0lsbbs6( wcdincrease by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a mass ofs*-k7odq z(yr x 2dfihvgg30 6 0.600 kg is suspended ff(dh 7dzg6ovq20-sxyikr *g 3rom it?

  A mass is attached to a spring of spring constant 60 0*n*jo dfrcj6 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the amplit *c0d6jj*r ofnude?

  A mass is attached to a spring of spring constanr 4 mjg3z;-p;v-m msant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes thag j;-n3v zmrsmp4;m-e mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, s dcx a25o5z/lfrictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mas2c/ zal5o5dx ss 0.50 s to go back to its equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscil 8unmd8+0fo w98klrollations in 5.0 s. Whald0r8flonm9 8+uo8k wt is the period?

  A mass vibrates back and forth from the free end of an ideal spring of spri; + i.z.lqik;ju,duacng constant 20 N/m with an amplitude of 0.30 m. What is the ki idu; kjl c,z..qia+;unetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a h4 p fhj+ac1n0horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. What is the tota0chp41 haj +nfl energy of the system?

  A mass undergoes SHM with amplitude om ij0a4v0 0f/dj7bv yak;n.xqv)pop/f 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplixjvyv /. d)07/kajmavpq0pn0 ;f 4iob tude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 ,qc/bp *eh,j qN/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/q,e/jp* bh cq,s at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 2ymi1:l3o (fd s0 N/m along a horizontal, frictionless surface. The objecty(sd3l:1m fi o oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. At what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to th oo/bi(k rk eo(3p1eh*e end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the tota( e*3ob1i(/phe korko l mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of sp -:da)yjv*wavring constant 50 w-vy:d*v aa )jN/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from theevxtp9s) 5no5ov- y,y free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maxim5tvp y95-),noy es xovum kinetic energy of this vibrating mass?

  The mass of a mass-and-spri:8ypw yet9k)s ng system is displaced 10 cm from its equilibrium position and releas:)8e9ytpy w ksed. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. Tlcaqo3x7 je8qu plv5+ j f/2gl(x1*dphe object is displace73dgj8p5*cau/ql 1 2+q(exofplvl x jd by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attached to a sprn3ttqmd);h - l.z6 xjning of spring constant 10 N/m. The object is jmhtz3;d6.nl n )tq-xdisplaced by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung from a spring of spring consv unxbjztsenom5y( -sj;1 4;6tant 18 N/m, displaced slightly from its equy-m 65x;s nv4 (;z tjnj1ubeosilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency /(yqwh*. hab sof 1.27 Hz when displaced a distancbh/ yash( *.wqe of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are atta-u2-i r(sb h(-ataybkched to different springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 h-bai2rs(ut a(by-k- Hz and mass B vibrates with amplitude of 5.0 cm at a frequency of 16 Hz. How does the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass strdmpm , 91giezrfe m0--bf7nfy7fj)w/ etches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. ,7eyb -z/7wm dmr)gj1if ff - fpm0en9Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the masspiw t/9ol* (ka stretches the spring 2.0 cm downward. The mass is then pulled at wa*lp(/o9i kn additional distance of 1.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring2sa,(zfg :s1dncru o *. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cf ,rusdzsca *: g(2on1m down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position ver8ur-u9 (t9naw7c ae9ta2 y)gly qf bs8/ szvg:sus time equatg 8l 2ansyv(a s-:9ca)9yq ubwuzt7 gr/t8fe9ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obey (sb vq6fdd3zg.x ud5zp(k1 .qs the following position versus time equation( qpq5 bd36 s.g.d( vd1zzukxf:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus time eqs *1uo3+2 pnob*3i;zsxwjpcnua*3 1o+*jpn3x2s buow p sn;ciztion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free ens6e pz lgmloo)5n 5x )tx;dd-u6nl0rh k995lwd of a spring executes simple harmonic motion according to thsz l5 d6 6;dx gonomlw05hlkp)t l9n-9x5ru)ee equation $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring with a xt)cxn,9+6 al/dlmyz force constant of 20.0 N/m oscillates on a horizontal, fr)dl ca6l/,x+ zm ytnx9ictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring is stretched by 10.00 cm.)
(a) Determine the frequency of the oscillations.
(b) Determine the maximum speed of the mass. Where does the maximum speed occur?
(c) Determine the maximum acceleration of the mass. Where does the maximum acceleration occur?
(d) Determine the total energy of the oscillating system.
(e) Express the displacement as a function of time.

  A pendulum makes 12 coma goid6js7 gk+9,el0m plete swings in 8.0 s. (a) What are its frequency and period on Eartj k,le+6gmao g0 9dis7h?

  A 3.00-kg pendulum is 28.84 m long. W oh7hr*s ng-cm7iz4r)hat is its period on Earth?

  A pendulum has a peri3kwz e,hc/:p8pcq5 vyod of 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is 8tr7rv7jm,kz4 m;v(oe2fj,4ki sm hyits period on the Earth?2o ;j(ev7ihjk44f m7m t y,r8mk,szr v

  The pendulum of a grandfather clocj81ypl il9f0ck is 1.0 m long. What is its period on the Moon where the acceleration due to gravity is only j9 lc08f1iylp $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massleb;t :p4w* wse.op *ii0kfas2vss string. When the mass is bip ia4sw w:; .toef0k** sp2vdisplaced slightly from its equilibrium position and released, the pendulum swings back and forth with a frequency of 2.0 Hz. What frequency would have resulted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g ma3sn2 l f.c n21zam otw0i4v(suss has initial angular displacement of 8.0e. It oscillates wit .vn1 tfmas 0z32s2w4(noc ulih a period of 3.00 s.
(a) Determine the length of the pendulum.
(b) Does the period of the pendulum depend on the initial angular displacement?
(c) Does the period of the pendulum depend on the mass of the pendulum?
(d) Does the period of the pendulum depend on the length of the pendulum?
(e) Does the period of the pendulum depend on the acceleration due to gravity?

  Figure 11-2 is a "snap: t5(5nunufe)i,y4 ju7ypl y bshot" of a wave at a given time. The frequency of the wave is 120 Hz. y5t7 yniy(pfn u e:ul )bu4,j5What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a g.m(+ gg;/ gbvd0ogp iww/f6tmiven time. The frequency of the wave is( ob pw0giggdw;vm/ 6f+m/t g. 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a ,5bdqap6u2i4 vhp 5mo given time. The frequency of the wave is 120 Hz. What is thedv b h5m2up,546o pqai wave speed?

  What is the frequency of a wave which has a perx-bic)9ae s/jcyk .k4iod of 6.00 ms?

  What is the period of a wav.jvtli2g /7 l9g ub2cn0h 4htme with a frequency of 1500 Hz?

  What is the wave speedc omws))zhs+65 q( hfq if a wave has a frequency of 12 Hz and a wavelength of 3.0 m6 )w()ofqshc5q mz h+s?

  What is the velocity of a wave that has a wavelength of 3.0 m ) 6yiz9lle ac -p9va+oand a frequency of z opl c9el)ya9a 6+v-i12 Hz?

  What is the frequency of a 2.5 d e).oys6w*,c9i0yrpu+masl m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0p*x0)v0hf w rb050 kg/m is under a tension of 1350 N. What is thevwr*0xh pbf)0 wave speed?

  A string of linear density 6.0 g/m is under a tension of 18ghfne 2jv 9t0oao :02ruxeuz9+r z ;r.0 N. What is the velocity of propagation of transverse waves along the stgju0nufx.e 2r9o2rzt9ahv+; :z r0eoring?

A wave whose wavelength is 0.500 m is traveling down a 5:ih3f sjld 6.0qs4 cxf00 m long wire whose total mass hi4ffq3 c .0j6slxd:sis
25.0 kg. The wire is under a tension of 2000 N.
(a) Determine the velocity of the wave on the wire.
(b) Determine the frequency of this wave.

  The velocity of propagation of a transverse wave on a 2.0-m long s1r-q xg toe(t5wkrl:b* u5o(i tring fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of t: 1rkrowlb*q5u 5e(-g i(x ttohis string?

  If a guitar string has.b+ xhw 7k6 h:ha)rsvq a fundamental frequency of 500 Hz, which one of the following frequencies can set the string into rehakr)vh+xwsq 6.b 7h:sonant vibration?

  A stretched string is observed to have u)v/t9 vwj/2h r tnu9;;guliq four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with firgvnu/vilt9q 9 t; ;wj2/u)uhve equal segments?

  A string, fixed at both ends, vibne ,8 f )bf7jz lmo m:ucsrxsh0ab3+6wo(h z38rates at a frequency of 12 Hz with a standing transverse wave pattern containing 7: cf)+beh30 bhzamo,rm8l nszjuf x8 63 w(os3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What shouwm/7bjwl 5 ji;ld its length be if its fundamental resonance frequencyiw/;7w jbm j5l is 220 Hz?

  Find the first three ha zsyr *8fz2qgrvk+l,2 rmonics of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected tyr+sf 2g2z*qrv8k,lzo tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When thz yl4gugoq0 2u04 qm;he string vibrates at a frequency of 85 Hz, a standing wave with five loops is fo;ghuqmoz2y l 4u40 gq0rmed.
(a) Determine the distance between two adjacent nodes.
(b) Determine the wavelength of the waves that travel on the string.
(c) Determine the velocity of waves.
(d) Determine the fundamental frequency of this string.